On the dynamics of continuous distributions of dislocations

Citation
E. Binz et al., On the dynamics of continuous distributions of dislocations, Q APPL MATH, 59(2), 2001, pp. 225-239
Citations number
28
Categorie Soggetti
Engineering Mathematics
Journal title
QUARTERLY OF APPLIED MATHEMATICS
ISSN journal
0033569X → ACNP
Volume
59
Issue
2
Year of publication
2001
Pages
225 - 239
Database
ISI
SICI code
0033-569X(200106)59:2<225:OTDOCD>2.0.ZU;2-X
Abstract
For materials with continuous distributions of dislocations a configuration space which unifies the continuum theory of defects with classical elastic ity is given, Weak equations of motion are derived from the principle of vi rtual work. Using the Helmholtz decomposition theorem, this; yields; a coup led system of equations for the dynamics of dislocations and classical elas ticity.